Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation. - Markus Muhr; Vanja Nikolic; Barbara I. Wohlmuth (J. Comput. Phys., 2019)

A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation. - Vanja Nikolic; Barbara I. Wohlmuth (SIAM J. Numer. Anal., 2019)

A high-order discontinuous Galerkin method for nonlinear sound waves. - Paola F. Antonietti; Ilario Mazzieri; Markus Muhr; Vanja Nikolic; Barbara I. Wohlmuth (J. Comput. Phys., 2020)

A hybrid discontinuous Galerkin method for nonlinear elasto-acoustic coupling. - Markus Muhr; Vanja Nikolic; Barbara I. Wohlmuth (CoRR, 2021)

Determining kernels in linear viscoelasticity. - Barbara Kaltenbacher; Ustim Khristenko; Vanja Nikolic; Rajendran Mabel Lizzy; Barbara I. Wohlmuth (CoRR, 2021)

The Inviscid Limit of Third-Order Linear and Nonlinear Acoustic Equations. - Barbara Kaltenbacher; Vanja Nikolic (SIAM J. Appl. Math., 2021)

Mixed approximation of nonlinear acoustic equations: Well-posedness and a priori error analysis. - Mostafa Meliani; Vanja Nikolic (CoRR, 2022)

Determining kernels in linear viscoelasticity. - Barbara Kaltenbacher; Ustim Khristenko; Vanja Nikolic; Mabel L. Rajendran; Barbara I. Wohlmuth (J. Comput. Phys., 2022)

Parabolic Approximation of Quasilinear Wave Equations with Applications in Nonlinear Acoustics. - Barbara Kaltenbacher; Vanja Nikolic (SIAM J. Math. Anal., 2022)

A Phase-Field Approach to Shape and Topology Optimization of Acoustic Waves in Dissipative Media. - Harald Garcke; Sourav Mitra; Vanja Nikolic (SIAM J. Control. Optim., 2022)

Asymptotic-preserving finite element analysis of Westervelt-type wave equations. - Vanja Nikolic (CoRR, 2023)

Robust fully discrete error bounds for the Kuznetsov equation in the inviscid limit. - Benjamin Dörich; Vanja Nikolic (CoRR, 2024)

The Westervelt-Rayleigh-Plesset model of ultrasound contrast imaging with microbubbles: analysis and simulation. - Vanja Nikolic; Teresa Rauscher (CoRR, 2024)

Combined DG-CG finite element method for the Westervelt equation. - Sergio Gómez; Vanja Nikolic (CoRR, 2024)

Mathematical Models for Nonlinear Ultrasound Contrast Imaging with Microbubbles. - Vanja Nikolic; Teresa Rauscher (SIAM J. Appl. Math., 2025)

Finite element discretization of nonlinear models of ultrasound heating. - Julio Careaga; Benjamin Dörich; Vanja Nikolic (CoRR, 2025)

Multiharmonic algorithms for contrast-enhanced ultrasound. - Vanja Nikolic; Teresa Rauscher (CoRR, 2025)

Westervelt-Based Modeling of Ultrasound-Enhanced Drug Delivery. - Julio Careaga; Vanja Nikolic; Belkacem Said Houari (J. Nonlinear Sci., 2025)